Cindy Alder's Intermediate Algebra

Library of Guided Lecture Notes

 

Guided Lecture Notes 

The following guided lecture notes are provided to aid you in taking notes while watching the instructor video pesentations. You can download and print each PDF file ( I suggest you print multiple pages per sheet) or you can download the PDF files to an iPad or tablet and take notes directly on them.

Chapter 2 Linear Equations, Inequalities, and Applications

• 2.1 Linear Equations in One Variable
• 2.2 Formulas and Percent  
• 2.3 Applications of Linear Equations 
• 2.4 Further Applications of Linear Equations 
• 2.5 Linear Inequalities in One Variable 
• 2.6 Set Operations and Compound Inequalities 
• 2.7 Absolute Value Equations and Inequalities 

Chapter 3 Graphs, Linear Equations, and Functions 

• 3.1 The Rectangular Coordinate System 
• 3.2 The Slope of a Line   
• 3.3 Linear Equations in Two Variables 
• 3.4 Linear Inequalities in Two Variables  
• 3.5 Introduction to Relations and Functions  
• 3.6 Function Notation and Linear Functions  

Chapter 4 Systems of Linear Equations 

• 4.1 Systems of Linear Equations in Two Variables  (Graphing & Substitution)
• 4.1 / 4.2 Systems of Linear Equations in Two & Three Variables (Elimination)
• 4.3 Applications of Systems of Linear Equations 

Chapter 5 Exponents, Polynomials, and Polynomial Functions 

• 5.1 Integer Exponents and Scientific Notation 
• 5.2 Adding and Subtracting Polynomials 
• 5.3 Polynomial Functions, Graphs, and Composition 
• 5.4 Multiplying Polynomials
• 5.5 Dividing Polynomials

Chapter 6 Factoring

• 6.1 Greatest Common Factors and Factoring by Grouping
• 6.2 Factoring Trinomials 
• 6.3 Special Factoring 
• 6.4 A General Approach to Factoring
  • This is a review section.  Use your foldable from the previous sections as a guide for factoring.
• 6.5 Solving Equations by Factoring

Chapter 7 Rational Expressions and Functions

• 7.1 Rational Expressions and Functions; Multiplying and Dividing
• 7.2 Adding and Subtracting Rational Expressions
• 7.3 Complex Fractions                                              
• 7.4 Equations with Rational Expressions and Graphs
• 7.5 Applications of Rational Expressions

Chapter 8 Roots, Radicals, and Root Functions

• 8.1 Radical Expressions and Graphs 
• 8.2 Rational Exponents
• 8.3 Simplifying Radical Expressions
• 8.4 Adding and Subtracting Radical Expressions
• 8.5 Multiplying and Dividing Radical Expressions
• 8.6 Solving Equations with Radicals
• 8.7 Complex Numbers

Chapter 9 Quadratic Equations, Inequalities, and Functions

• 9.1 The Square Root Property and Completing the Square
• 9.2 The Quadratic Formula 
• 9.3 Equations Quadratic in Form
• 9.4 Formulas and Further Applications
• 9.5 Graphs of Quadratic Functions
• 9.6 More about Parabolas and Their Applications

Chapter 10 Inverse, Exponential, and Logarithmic Functions

• 10.1 Inverse Functions 
• 10.2 Exponential Functions 
• 10.3 Logarithmic Functions
• 10.4 Properties of Logarithms
• 10.5 Common and Natural Logarithms
• 10.6 Exponential and Logarithmic Equations; Further Applications

Chapter 11 Nonlinear Functions & Conic Sections

• 11.1 Additional Graphs of Functions 
• 11.2 The Circle and the Ellipse 
• 11.3 The Hyperbola

If you have any questions or comments about the information contained within these pages or for problems with these pages, please contact Cindy Alder at ude.wons@redla.ydnic.